Document Type : Original Article

Author

• Abolfazl Niazi Motlagh

Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran.

Abstract

In this paper, the generalized Hyers-Ulam stability of the functional inequality
||f(a)+f(b)+cf(d)+f(c)d||≤||kf((a+b+cd)/k)||,      |k|<|2|,
in non-Archimedean Banach algebras is established.

Keywords

• Banach algebra
• Derivation
• Generalized Hyers-Ulam stability
• Non-Archimedean Banach algebra